Question

Solve and check. $$m+\frac{2}{3}=-\frac{1}{3}$$

   Solve and check.
$$m+\frac{2}{3}=-\frac{1}{3}$$

Prealgebra and Introductory Algebra

Prealgebra and Introductory Algebra

Richard N. Aufmann,… 3rd Edition

Chapter 5, Problem 49

Instant Answer

Solved by Expert Ethan Somes

06/20/2020

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Solve and check. $$m+\frac{2}{3}=-\frac{1}{3}$$

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Key Concepts

Solution Verification

Solution verification is the step where the computed solution is substituted back into the original equation to ensure that it satisfies the equation. This step is important to confirm the correctness of the solution and to catch any inadvertent errors made during manipulation.

Rational Arithmetic

Rational arithmetic involves operations on fractions or rational numbers. It includes procedures for addition, subtraction, multiplication, and division of fractions, which are crucial when solving equations that contain fractional values.

Isolation of Variables

Isolation of variables is a technique used to solve equations by manipulating the equation to leave the unknown variable on one side of the equation by itself. This generally involves applying operations such as addition, subtraction, multiplication, or division consistently to both sides.

Linear Equations

A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable. They represent straight lines when graphed and can generally be solved by isolating the variable through inverse operations.

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